SOLUTION: Question : The mean for the number of weeks 15 New York Times hard-cover fiction books spent on the bestseller list is 22 weeks. The standard deviation is 6.17 weeks. The mean for

Question 1173381: Question :
The mean for the number of weeks 15 New York Times hard-cover fiction books spent on the bestseller list is 22 weeks. The standard deviation is 6.17 weeks. The mean for the number of weeks 15 New York Times hard-cover nonfiction books spent on the list is 28 weeks. The standard deviation is 13.2 weeks. At α=0.10, can we conclude that there is a difference in the mean times for the number of weeks the books were on the bestseller lists?
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Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Ho:means are equal for F and NF
Ha: means are not equal
alpha=0.10 p{reject Ho|Ho true}
test is a 2 sample t
critical value is t(0.95, df=28) is 1.701, reject if |t|>1.701
calculation is t=(difference between means)/sqrt[ (s1^2/n1)+(s2^2/n2)]
=-6/sqrt [(6.17^2/15)+(13.2^2/15)]; denominator=sqrt(14.15)
=-6/3.76
=-1.60
fail to reject Ho; insufficient evidence to say that there is a difference between the means.
p-value=0.13
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